A piling for a high-rise building is pushed by two bulldozers at exactly the same time. One bulldozer exerts a force of 1250 pounds in a westerly direction. The other bulldozer pushes the piling with a force of 2650 pounds in a northerly direction. What is the magnitude of the resultant force upon the piling, to the nearest ten pounds?

The forces result in a right triangle. To obtain the resultant force, one can simply use the Pythagorean theorem. 1250 lbf and 2650 lbf both act as the legs of the triangle. Obtaining the hypotenuse via the theorem would yield the resultant force. This is done below:

c^2 = a^2 + b^2
c^2 = (1250)^2 + (2650)^2
c = 2930.017 lbf

Therefore, the magnitude of the resultant force is approximately equal to 2930 lbf.

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sheenuvt12 sheenuvt12 · Answer 2 · 2022-06-06T21:38:55+02:00

The magnitude of the resultant force is 2930 pounds.

What is the resultant force?

The resultant force is the single force that has the same effect as two or more forces acting together. Two forces that act in the same direction produce a resultant force that is larger than either individual force.

If one bulldozer exerts force in west direction of magnitude 1250 pounds and the other exerts a force in north direction of magnitude 2650 pounds .

let F[tex]_1[/tex]= 1250 pounds and F[tex]_2[/tex]= 2650 pounds

Using magnitude,

|F|=√F[tex]_1[/tex]²+ F[tex]_2[/tex]²

|F|= √1250²+2650²

= √1562500+7022500

=√2*2*5*5*5*5*5*5*5*5+2*2*5*5*5*5*53*53

=√2*2*5*5*5*5(5*5*5*5+53*53)

=50√3434

= 2930.017 pounds.

Hence, the magnitude of the resultant force is approximately equal to 2930 pounds.

Learn more about of Resultant force here:

https://brainly.com/question/16380983

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